Strichartz inequalities with white noise potential on compact surfaces
Analysis of PDEs
2024-03-13 v3 Mathematical Physics
math.MP
Probability
Spectral Theory
Abstract
We prove Strichatz inequalities for the Schr{\"o}dinger equation and the wave equation with multiplicative noise on a two-dimensional manifold. This relies on the Anderson Hamiltonian H described using high order paracontrolled calculus. As an application, it gives a low regularity solution theory for the associated nonlinear equations.
Cite
@article{arxiv.2104.07940,
title = {Strichartz inequalities with white noise potential on compact surfaces},
author = {Antoine Mouzard and Immanuel Zachhuber},
journal= {arXiv preprint arXiv:2104.07940},
year = {2024}
}